{ "id": "cond-mat/9810273", "version": "v1", "published": "1998-10-21T12:39:16.000Z", "updated": "1998-10-21T12:39:16.000Z", "title": "Path Integral for Composite Fermions in the Half-Filled Lowest Landau Level", "authors": [ "W. Weller", "J. Dietel", "Th. Koschny", "W. Apel" ], "comment": "4 pages", "categories": [ "cond-mat.mes-hall" ], "abstract": "We consider electrons in two dimensions in a strong magnetic field at half filling of the lowest Landau level using the Chern-Simons approach. Starting from a lattice Hamiltonian for the electrons, we derive a path integral (PI) formulation for the composite fermions (CF) which respects the order of the operators. We use a time lattice with intermediate times in order to have a PI expressed in density fluctuations. This formulation reveals that there is no infrared (IR) singularity in the grand-canonical potential in lowest order perturbation theory.", "revisions": [ { "version": "v1", "updated": "1998-10-21T12:39:16.000Z" } ], "analyses": { "keywords": [ "half-filled lowest landau level", "composite fermions", "path integral", "lowest order perturbation theory", "strong magnetic field" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1998cond.mat.10273W" } } }